Given a convex n-gon P, a Fagnano periodic orbit of the respective dual billiard map is an n-gon Q whose sides are bisected by the vertices of P. For which polygons P does the ratio Area Q/Area P have the minimal value? The answer is shown to be: for affine-regular polygons.
|Original language||English (US)|
|Number of pages||8|
|State||Published - 1999|
All Science Journal Classification (ASJC) codes
- Geometry and Topology